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Finding the Fourth Proportional to 102,664.32, 154,000.80 and 50,120.16

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Solution

The fourth proportional to 102,664.32, 154,000.80 and 50,120.16 is: 75,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,664.32 : 154,000.80 = 50,120.16 : x
  2. Step 2: Convert to fraction form
    102,664.32/154,000.80 = 50,120.16/x
  3. Step 3: Cross multiply
    102,664.32x = 154,000.80 × 50,120.16
  4. Step 4: Simplify right side
    102,664.32x = 7,718,544,736.13
  5. Step 5: Solve for x
    x = 7,718,544,736.13/102,664.32
  6. Step 6: Final answer
    x = 75,182.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.